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Three-Dimensional Cavitation Bubble Simulations based on Lattice Boltzmann Model Coupled with Carnahan-Starling Equation of State

Part of: Two-phase and multiphase flows Numerical methods in complex analysis Incompressible inviscid fluids

Published online by Cambridge University Press:  21 June 2017

Yanwen Su ,
Xuelin Tang ,
Fujun Wang ,
Xiaoqin Li  and
Xiaoyan Shi
Yanwen Su*
Affiliation:
Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing 100083, China
Xuelin Tang*
Affiliation:
Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing 100083, China
Fujun Wang*
Affiliation:
Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing 100083, China
Xiaoqin Li*
Affiliation:
Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing 100083, China
Xiaoyan Shi*
Affiliation:
Beijing Engineering Research Centre of Safety and Energy Saving Technology for Water Supply Network System, China Agricultural University, Beijing 100083, China
*
*Corresponding author. Email addresses:ysu1452@163.com (Y. Su), xl-tang@mail.tsinghua.edu.cn (X. Tang), wangfj@cau.edu.cn (F.Wang), 13522915056@163.com (X. Li), sxy36@163.com (X. Shi)
*Corresponding author. Email addresses:ysu1452@163.com (Y. Su), xl-tang@mail.tsinghua.edu.cn (X. Tang), wangfj@cau.edu.cn (F.Wang), 13522915056@163.com (X. Li), sxy36@163.com (X. Shi)
*Corresponding author. Email addresses:ysu1452@163.com (Y. Su), xl-tang@mail.tsinghua.edu.cn (X. Tang), wangfj@cau.edu.cn (F.Wang), 13522915056@163.com (X. Li), sxy36@163.com (X. Shi)
*Corresponding author. Email addresses:ysu1452@163.com (Y. Su), xl-tang@mail.tsinghua.edu.cn (X. Tang), wangfj@cau.edu.cn (F.Wang), 13522915056@163.com (X. Li), sxy36@163.com (X. Shi)
*Corresponding author. Email addresses:ysu1452@163.com (Y. Su), xl-tang@mail.tsinghua.edu.cn (X. Tang), wangfj@cau.edu.cn (F.Wang), 13522915056@163.com (X. Li), sxy36@163.com (X. Shi)
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Abstract

The Shan-Chen multiphase lattice Boltzmann model (LBM) coupled with Carnahan-Starling real-gas equation of state (C-S EOS)was proposed to simulate three-dimensional (3D) cavitation bubbles. Firstly, phase separation processes were predicted and the inter-phase large density ratio over 2×104 was captured successfully. The liquid-vapor density ratio at lower temperature is larger. Secondly, bubble surface tensions were computed and decreased with temperature increasing. Thirdly, the evolution of creation and condensation of cavitation bubbles were obtained. The effectiveness and reliability of present method were verified by energy barrier theory. The influences of temperature, pressure difference and critical bubble radius on cavitation bubbles were analyzed systematically. Only when the bubble radius is larger than the critical value will the cavitation occur, otherwise, cavitation bubbles will dissipate due to condensation. According to the analyses of radius change against time and the variation ratio of bubble radius, critical radius is larger under lower temperature and smaller pressure difference condition, thus bigger seed bubbles are needed to invoke cavitation. Under higher temperature and larger pressure difference, smaller seed bubbles can invoke cavitation and the expanding velocity of cavitation bubbles are faster. The cavitation bubble evolution including formation, developing and collapse was captured successfully under various pressure conditions.

Keywords

Cavitation bubbleCarnahan-Starling equation of statelattice Boltzmann modelShan-Chen multiphase model3D numerical simulation

MSC classification

Secondary: 65E05: Numerical methods in complex analysis (potential theory, etc.) 76B10: Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing 76T10: Liquid-gas two-phase flows, bubbly flows
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 2 , August 2017 , pp. 473 - 493
Copyright
Copyright © Global-Science Press 2017 

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